SMS scnews item created by Bill Unger at Fri 15 Jun 2007 1609
Type: Seminar
Distribution: World
Expiry: 21 Jun 2007
Calendar1: 21 Jun 2007 1505-1600
CalLoc1: Eastern Ave 311
Auth: billu@galois.maths.usyd.edu.au

Computational Algebra Seminar: Brooksbank -- Algorithms for matrix algebras and their modules

Speaker: Peter Brooksbank (Bucknell University)
Title: Algorithms for matrix algebras and their modules
Time & Place: 3:05-4pm, Thursday 21 June, Eastern Ave Bldg, Rm 311

Abstract:
I will discuss new techniques for computing with matrix algebras
and their modules over arbitrary fields. The key is a deterministic algorithm
to construct a non-nilpotent element in any weakly-closed subset of a
non-nilpotent matrix algebra. There are immediate applications of this
construction to the problem of testing for isomorphism between two modules,
and to obtaining certain decompositions of a module. The methods are quite
elementary, requiring almost no structural knowledge of the algebra. Thus
the hope is that the resulting algorithms are practicable for a broad
range of fields, and I am particularly keen to discuss their practical
potential during my visit to Sydney. (This is joint work with Gene Luks at
the University of Oregon.)


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